Al Queda will flourish as long as...

1. The USA and Britain keep alienating Muslim populations, and...

2. as long as the USA and Britain still think they need an Al Queda out there to scare people with.

One "safe haven" will be quickly replaced by another. You don't want to kill the goose that lays the imperial eggs, after all. How could we fight more wars if there was no one left to fight? Without more wars, what would our enormous defense industries do to make a living?